Below Is a Table of Values for a Continuous Function $\begin{array} { | c | c | c | c | c | c | } \hline x & - 1 & - 0.5 & 0 & 0.5 & 1 \\\hline f ( x ) &2.0 &1.5 &-1.0 &0.5 &-3.0 \\\hline\end{array}$

Essay

Below is a table of values for a continuous function f. $\begin{array} { | c | c | c | c | c | c | } \hline x & - 1 & - 0.5 & 0 & 0.5 & 1 \\\hline f ( x ) &2.0 &1.5 &-1.0 &0.5 &-3.0 \\\hline\end{array}$
(a) Use the Trapezoidal Rule with n = 4 to approximate $\int _ { - 1 } ^ { 1 } f ( x ) d x$
(b) Use Simpson's Rule with n = 4 to approximate $\int _ { - 1 } ^ { 1 } f ( x ) d x$